A:
Positive:
1 x 2166140697 x 3094486723 x 9418003161 x 1345429227 x 9542471589 x 1363215221 x 414895927 x 36547
Negative:
-1 x -216614069-7 x -30944867-23 x -9418003-161 x -1345429-227 x -954247-1589 x -136321-5221 x -41489-5927 x -36547
Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 216,614,069, it is easier to work with a table - it's called factoring from the outside in.
We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.
| 1 | 216,614,069 | |
| -1 | -216,614,069 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 216,614,069.
Example:
1 x 216,614,069 = 216,614,069
and
-1 x -216,614,069 = 216,614,069
Notice both answers equal 216,614,069
With that explanation out of the way, let's continue. Next, we take the number 216,614,069 and divide it by 2:
216,614,069 ÷ 2 = 108,307,034.5
If the quotient is a whole number, then 2 and 108,307,034.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.
Here is what our table should look like at this step:
| 1 | 216,614,069 | |
| -1 | -216,614,069 |
Now, we try dividing 216,614,069 by 3:
216,614,069 ÷ 3 = 72,204,689.6667
If the quotient is a whole number, then 3 and 72,204,689.6667 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.
Here is what our table should look like at this step:
| 1 | 216,614,069 | |
| -1 | -216,614,069 |
Let's try dividing by 4:
216,614,069 ÷ 4 = 54,153,517.25
If the quotient is a whole number, then 4 and 54,153,517.25 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.
Here is what our table should look like at this step:
| 1 | 216,614,069 | |
| -1 | 216,614,069 |
If you did it right, you will end up with this table:
| 1 | 7 | 23 | 161 | 227 | 1,589 | 5,221 | 5,927 | 36,547 | 41,489 | 136,321 | 954,247 | 1,345,429 | 9,418,003 | 30,944,867 | 216,614,069 |
| -1 | -7 | -23 | -161 | -227 | -1,589 | -5,221 | -5,927 | -36,547 | -41,489 | -136,321 | -954,247 | -1,345,429 | -9,418,003 | -30,944,867 | -216,614,069 |
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